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Sav [38]
3 years ago
13

F

Mathematics
2 answers:
Masja [62]3 years ago
5 0

Step-by-step explanation:

P varies to d²

F=K/d²

where K is the constant

6=k/6²

6=k/36

K= 216

we write the equation

F=k/d²

we substitute

F=216/3²

F=216/9

F= 24

ivolga24 [154]3 years ago
3 0

Answer:

F = 24

Step-by-step explanation:

Given that F is inversely proportional to d² then the equation relating them is

F= \frac{k}{d^2} ← k is the constant of proportion

To find k use the condition F = 6 when d = 6 , then

6 = \frac{k}{6^2} = \frac{k}{36} ( multiply both sides by 36 )

216 = k

F = \frac{216}{d^2} ← equation of proportion

When d = 3 , then

F = \frac{216}{3^2} = \frac{216}{9} = 24

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<h3>Answer: Point E is located at (2, 3)</h3>

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Explanation:

The sequence PQRST has T as the last letter.

The sequence ABCDE has E as the last letter

The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.

Point T is at location (-3,2). So x = -3 and y = 2.

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Use the rule

(x,y) ---> (y, -x)

which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).

This means,

(-3, 2) ----> (2, -(-3)) = (2, 3)

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6 0
3 years ago
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Fiesta28 [93]

Answer:

x = 5 and x = -3

Step-by-step explanation:

hope it helps

7 0
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The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)
dmitriy555 [2]
The preimage WXYZ is to undergo a rotation of 90° in the clockwise direction.
A 90° clockwise rotation leads to the following change in the coordinates;
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3 years ago
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Inessa05 [86]

Answer:

Option C is the correct answer.

Step-by-step explanation:

Since a random number generator is used to select a single number between 1 and 28, inclusively;

For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.

Let's list the divisors of 28:

The divisors of 28 are {1, 2, 4, 7, 14, 28}

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5 0
3 years ago
Given that p(b|a)=0.75 and p(a)=0.35, what is p(b and a)
Nikitich [7]

Answer:

1.0125

Step-by-step explanation:

Since b/a is 0.75 and a is given as 0.35

Then let's start by solving for b

Ok...how

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Then make b the subject of formula

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Let's continue

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Therefore the final answer is 1.0125

6 0
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